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Finding the Fourth Proportional to 32,478.51, 44,820 and 17,574.51

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Solution

The fourth proportional to 32,478.51, 44,820 and 17,574.51 is: 24,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478.51 : 44,820 = 17,574.51 : x
  2. Step 2: Convert to fraction form
    32,478.51/44,820 = 17,574.51/x
  3. Step 3: Cross multiply
    32,478.51x = 44,820 × 17,574.51
  4. Step 4: Simplify right side
    32,478.51x = 787,689,538.20
  5. Step 5: Solve for x
    x = 787,689,538.20/32,478.51
  6. Step 6: Final answer
    x = 24,252.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.